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21351202440 = 23352915739079
BaseRepresentation
bin10011111000101000…
…010111111010001000
32001010000001110112120
4103320220113322020
5322211401434230
613450354211240
71354050140421
oct237050277210
961100043476
1021351202440
119067219457
12417a583b20
1320235cc3c9
141067934648
1584e6c2310
hex4f8a17e88

21351202440 has 128 divisors (see below), whose sum is σ = 66686112000. Its totient is φ = 5462166528.

The previous prime is 21351202403. The next prime is 21351202451. The reversal of 21351202440 is 4420215312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21351202440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526821 + ... + 565899.

It is an arithmetic number, because the mean of its divisors is an integer number (520985250).

Almost surely, 221351202440 is an apocalyptic number.

21351202440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21351202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33343056000).

21351202440 is an abundant number, since it is smaller than the sum of its proper divisors (45334909560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21351202440 is a wasteful number, since it uses less digits than its factorization.

21351202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39279 (or 39275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 21351202440 its reverse (4420215312), we get a palindrome (25771417752).

The spelling of 21351202440 in words is "twenty-one billion, three hundred fifty-one million, two hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 157 174 232 290 314 348 435 471 580 628 696 785 870 942 1160 1256 1570 1740 1884 2355 3140 3480 3768 4553 4710 6280 9106 9420 13659 18212 18840 22765 27318 36424 39079 45530 54636 68295 78158 91060 109272 117237 136590 156316 182120 195395 234474 273180 312632 390790 468948 546360 586185 781580 937896 1133291 1172370 1563160 2266582 2344740 3399873 4533164 4689480 5666455 6135403 6799746 9066328 11332910 12270806 13599492 16999365 18406209 22665820 24541612 27198984 30677015 33998730 36812418 45331640 49083224 61354030 67997460 73624836 92031045 122708060 135994920 147249672 177926687 184062090 245416120 355853374 368124180 533780061 711706748 736248360 889633435 1067560122 1423413496 1779266870 2135120244 2668900305 3558533740 4270240488 5337800610 7117067480 10675601220 21351202440